Official Quant thread for CAT 2013

one day a teacher brought 740 chocolates and equally distributed to the students. He was left with some chocolates. Next day he brought 860 chocolates and distributed to the studentsas on the previous day equally.then also he was left with same number of chocolates as on the previous day. if the number of students lie between 35 and 50 how many chocolates did each student got on the second day

  • 21
  • 40
  • 120
  • none of these
  • 20

0 voters

Which of the following number(s) is/are not prime?

(i) 2^5001 + 1 (ii) 2^5002 + 1 (iii) 2^5003 + 1.

Explain with solution.

How many positive integer pairs (x, y) satisfy x^(1/2) + y^(1/2)= 2003^(1/2)?

(a) 0 (b) 1 (c) 2 (d) 3

Explain with solution.

solve 199x+201y=1001 ; 201x+199y=999?


(wat is d shortcut used to find d ans )

How many ordered triples of three positive integers (a, b, c) exist such that a³ + b³ + c³ = 2011?

can someone share total gadha geometry questions? or any good ebook for geometry?or a link?

If n is an integer, how many values of n will give an integral value of (16n^2 +7n+6)/n

ans

2

3

4

none of these



SOLVE

16/(2X+3Y) - 7/(3X+2Y) = 1
8/3(2X+3Y) + 21/(3X+2Y) = 10/3

WAT CUD BE SHORT WAY TO FIND D ANS QUICKLY?

A car driver driving in fog, passes a pedestrian who was walking at the rate of 2km/h in the same direction. The pedestrian could see the car for 6 min and it was visible to him up to a distance of 0.6 km. The speed of the car would be :

  • 15kmph
  • 800m/h
  • 8kmph
  • 200m/h

0 voters

X takes 1 hr. more than Y to walk 42 km. But if X doubles his speed then he arrives 2.5 hrs. ahead of Y. Find the speeds of Y ??

explain plz?

is | x-3 |


1) |x|>2
2) |x-1|

Can be answered by either statement alone
Cannot be answered by both statements
Can be answered by using both the statements
Can be answered by one but not by other

rajesh takes 5 hrs more than rakesh to cover a distance of 500 km. if instead rajesh doubles his speed he would reach the destination 7 and a half hrs before rakesh.find rajesh speed?

a)20kmph
b)25kmph
c)35kmph
4)noone of these

pls solve completely..

22^3+23^3+24^4+.................................+88^3/110. What is the remainder?

  • 0
  • 55
  • 11
  • None of these

0 voters

@shriram562

22^3+23^3+24^4+.................................+88^3/110. What is the remainder?



1) 55



2) 11



3) 0



4) None of these Skip



is the qs right.. ?? 24^4 or 3 ??

Find the value of ab from the inequality 2a^2 + b^2 + 2a + 4b - 2ab + 13 ≤ 0 where a and b are real(a) 8 (b) -12 (c) 15 (d) 18

Hi ,

I am preparing for CAT 2013..
I have covered about all Quant Topics..
I have a good grasp of all topics..
But still i am not getting confidence...
I have joined CL but the questions dey do there are very easy ..
Which book Should i refer...

If y is real then the value of x in the expression x (attached jpg )

(1)lies between 5 & 7

(2)lies between 5 & 9

(3)has no value between 4 & 7

(4)has no value between 5 & 9

@sannidhya87 🍻🍻

three variables xyz have a sum of 30. all three of them are non non negative integers . if any two variables don't have the same value and exactly one variable has a less value than or equal to three, then find the number of possible solutions for the variables ?

please provide the solutuion
  • 68
  • 98
  • 285
  • 294

0 voters

why is the last non zero digit of any number N=5a+b given by the last non zero-digit of (2^a*a!*b!) ?
anyone with the explanation?